Posts

Efron's Dice: Where Mathematics Beats Luck

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During a Friday meeting with friends, I pulled out four inconspicuous dice from my pocket. With a mysterious smile, I asked if anyone wanted to play a simple game. Robert, known in our group as a lucky person, immediately took up the challenge. "The rules are simple," I said. "Whoever rolls more pips wins. To keep it fair, choose your die first." Robert confidently chose one of the dice, and I calmly took another from the remaining ones. We rolled several times. To everyone's surprise, I consistently rolled higher numbers. "Would you like to try with a different die?" I innocently suggested. "You can change to any of the remaining ones at any time." Robert, feeling that luck had abandoned him, eagerly took up the offer. I also reached for a different die. To his growing frustration, the situation repeated itself. He changed dice several more times, trying all possible combinations, and I picked a different one to pair each time. My ...

Transform Speech into Text with Python: A Versatile Speech Recognition Tool

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In today's digital age, converting spoken words into written text has become increasingly important for accessibility, content creation, and productivity. I'm excited to share a powerful Python-based Speech-to-Text converter that supports both real-time microphone recording and MP3 file conversion across multiple languages. Key Features Dual Input Methods : Record directly from your microphone or convert existing MP3 files Multi-language Support : Works with 10 major languages including English, Spanish, French, and Chinese Real-time Processing : Immediate transcription of spoken words Smart Noise Handling : Automatic ambient noise detection and adjustment User-friendly CLI : Simple command-line interface with clear options Clean Output : Generates UTF-8 encoded text files Technical Implementation The tool leverages several powerful Python libraries: SpeechRecognition : Provides the core speech recognition functionality using Google's Speech...

Building a Multilingual Text-to-Speech Tool with Python and gTTS

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Text-to-speech (TTS) technology has become increasingly important in our digital world, serving various purposes from accessibility improvements to content consumption on the go. Today, I'll walk you through a practical Python command-line tool that converts text files into speech in multiple languages using Google's Text-to-Speech (gTTS) service. Key Features Support for 15 languages including English, Spanish, French, German, and more Simple command-line interface Handles UTF-8 encoded text files Generates high-quality MP3 audio files Easy installation and setup Technical Implementation The tool is built with Python and uses several key components: gTTS Library : The core functionality relies on Google's Text-to-Speech service through the gTTS Python package, which handles the text-to-speech conversion and supports multiple languages. Command Line Interface : Built using Python's argparse module, providing a user-friendly interface ...

Schematy rozwiązywania równań różniczkowych [Polish]

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Zamieściłem tu schematy rozwiązywania równań różniczkowych. Do korzystania z nich wymagana jest znajomość rachunku różniczkowego i całkowego. Informacje ogólne Rzędy równań różniczkowych: I rzędu - zależność pomiędzy pochodną funkcji, samą funkcją i jej argumentem II rzędu - występuje także druga pochodna, np. \( x''=ax \) (wyższe rzędy) - ANALOGICZNIE Schematy Lista schematów: Równania różniczkowe zwyczajne Równania o zmiennych rozdzielonych równanie x'=p(t) równanie x'=p(t)x przypadek ogólny: x'=p(t)q(x) Równania różniczkowe liniowe I rzędu Jednorodne Niejednorodne II rzędu O stałych współczynnikach Jednorodne Niejednorodne ...

Vibrating string equation (without damping)

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Vibrating string without damping is represented by the following differential equation: $$ \begin{cases} \begin{array}{l@{\ }l@{\ }l} \frac{{{\partial ^2}u}}{{\partial {t^2}}} = {a^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}} , & \hspace{0.25in} 0 \leqslant x \leqslant L , 0 \leqslant t \leqslant \infty , & \hspace{0.25in} \text{string equation} ; \\ u\left( {0,t} \right) = u\left( {L,t} \right) = 0 , & \hspace{0.25in} 0 \leqslant t \leqslant \infty , & \hspace{0.25in} \text{boundary conditions} ; \\ u\left( {x,0} \right) = f\left( x \right) , \frac{{\partial u}}{{\partial t}}\left( {x,0} \right) = 0 , & \hspace{0.25in} 0 \leqslant x \leqslant L , & \hspace{0.25in} \text{initial conditions}; \end{array} \end{cases} \tag{1} $$ Splitting the string equation into two coupled equations We need to transform the equation: $$ \frac{{{\partial ^2}u}}{{\partial {t^2}}} = {a^2}\frac{{{\partial ^2}u}}{{\parti...

PyCharm - useful shortcuts

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Here are listed useful PyCharm shortcuts, which I use very often. If you have some other favourite shortcuts, please put it in a comment. Find action Ctrl + Shift + A - find action View Alt + 1 - toggle tool window Project Alt + 7 - toggle tool window Structure Navigation Ctrl + MOUSE LB CLICK - go to clicked object definition / occurences Ctrl + Shift + RIGHT (Linux/Ubuntu) - navigate forward Ctrl + Alt + RIGHT (other OS) Ctrl + Shift + LEFT (Linux/Ubuntu) - navigate backwards Ctrl + Alt + LEFT (other OS) Ctrl + G - go to line Ctrl + N - finds a class by name Ctrl + Shift + N - finds a file by name or path Alt + RIGHT, Alt + LEFT - switch between tabs Alt + UP, Alt + DOWN - jump between functions in code Search / replace Ctrl + F - find string/regexp in file Ctrl + L - move to next occurrence Ctrl + Shift + L - move to previous occurrence Ctrl + R - re...

Command History Searching

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Using this trick you can speed up a lot your work at command line in Linux (and not only). Pressing Ctrl + R allows you to quickly find a previously used command. How to use it? In command line terminal press Ctrl + R . Start typing some part of command, for example `pul`: (reverse-i-search)`pul': git pull If you want to find a next match, press Ctrl + R again (repeat until successful). If you want to edit the current match press LEFT or RIGHT and edit the command. If you want to exit without running any command, press Ctrl + G . If command you need is displayed, press ENTER to run it. Useful shortcuts These shortcuts are not related to the bash history tool (Ctrl+R), but may be useful if you edit a found command. Ctrl + LEFT/RIGHT - jump over the words. Ctrl + A - move the cursor to the beginning of the line. Ctrl + E - move the cursor to the end of the line. Ctrl + U - remove the content from the be...